BUS 204 Week 6 Assignment

BUS 204 Week 6  Assignment | MiraCosta College

1.

In the binomial distribution example in the lecture video, what percentage of the population supports a new regulation?

 

A.30%

B.25%

C.65%

D.35%  

 

2.

An agency collects demographics concerning the number of people in families per household in a certain country. Assume the distribution of the number of people per household is as shown in the table to the right.

a.            Calculate the expected number of people in families per household in the country.

b.            Compute the standard deviation of the number of people in families per household.

                                x              P(x)

                 

                2              0.27                       

                3              0.26                       

                4              0.30                       

                5              0.12                       

                6              0.03                       

                7              0.02                       

 

a. The expected number of people in families per household is

b. The standard deviation of the number of people in families per household is

 

3.

A random variable follows a binomial distribution with a probability of success equal to

0.64.

For a sample size of

n=11,

find the values below.

a. the probability of exactly

4

successes

b. the probability of

6

or more successes

c. the probability of exactly

10

successes

d. the expected value of the random variable

a. The probability of exactly

4

successes is

b. The probability of

6

or more successes is

c. The probability of exactly

10

successes is

d. The expected value of the random variable is

 

4.

A survey reported that

32%

of people plan to spend more on eating out after they retire. If

nine

people are randomly selected, determine the values below.

a.            The expected number of people who plan to spend more on eating out after they retire

b.            The standard deviation of the individuals who plan to spend more on eating out after they retire

c.             The probability that two or fewer in the sample indicate that they actually plan to spend more on eating out after retirement

a. The

expected number of people who plan to spend more on eating out after they retire is

people. (Type an integer or a decimal.)

b. The

standard deviation of the individuals who plan to spend more on eating out after they retire is

c. The

probability that two or fewer people in the sample indicate that they actually plan to spend more on eating out after retirement is

 

5.

A research institute reports that

73%

of workers reported that they and/or their spouse had saved some money for retirement. Complete parts a and b below.

a. If

a random sample of

30

workers is taken, what is the probability that fewer than

16

workers and/or their spouses have saved some money for retirement?

The probability is

b. If

a random sample of

60

workers is taken, what is the probability that more than

48

workers and/or their spouses have saved money for retirement?

The probability is

 

6.

The mean number of errors per page made by a member of the word processing pool for a large company is thought to be

1.7

with the number of errors distributed according to a Poisson distribution. If a page is examined, what is the probability that more than two errors will be observed?

The probability that more than two errors will be observed is

 

7.

A company that translates books between various languages is currently testing a computer-based translation service. The founder of the company expects the computer program to make some errors, but then so do human translators. The computer error rate is supposed to be an average of

2

per

500

words of translation. Suppose the company founder randomly selects a

2,000-word

passage. Assume that the Poisson distribution applies and that the computer error rate is actually

2

errors per

500

words. Complete parts a through d.

a. Determine the probability that no errors will be found.

The probability is

b. Calculate the probability that more than

14

errors will be found.

The probability is

c. Find the probability that fewer than

8

errors will be found.

The probability is

d. If

15

errors are found in the

2,000-word

passage, what would you conclude about the computer company's claim? Why?

The claim is probably

false

 

because there would be a very

low

 

probability of getting at least

15

errors in a

2,000-word

passage.